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Finding the Third Proportional to 2,428,243,686 and 5,224,775,244

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Solution

The third proportional to 2,428,243,686 and 5,224,775,244 is: 11,241,983,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428,243,686 : 5,224,775,244 = 5,224,775,244 : x
  2. Step 2: Convert to fraction form
    2,428,243,686/5,224,775,244 = 5,224,775,244/x
  3. Step 3: Cross multiply
    2,428,243,686x = 5,224,775,244 × 5,224,775,244
  4. Step 4: Simplify right side
    2,428,243,686x = 27,298,276,350,315,257,856
  5. Step 5: Solve for x
    x = 27,298,276,350,315,257,856/2,428,243,686
  6. Step 6: Final answer
    x = 11,241,983,869.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.